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Year 8 Maths homework- autumn term. Each week there is to be homework set, due in the day the teacher requests. The topics for each week are listed below.
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Year 8 Maths homework- autumn term Each week there is to be homework set, due in the day the teacher requests. The topics for each week are listed below. • Please note: The week given is the week which the work is likely to be taught in class. The due date may well be the following week and is at the individual teacher’s discretion. • Each homework is divided into 3 sections, A B & C. • A is for all pupils to attempt. • B is slightly harder and for most pupils to attempt. • C is the higher level work for some pupils to attempt. • (Your teacher will tell you which part(s) you should work up to) • ONLY SPEND AROUND 30mins! If you are struggling, try using mymaths, if this does not help then ask someone who can, preferably your maths teacher (BEFORE IT IS DUE IN!) • Every other week is a Mymaths based homework. These are to be done online using your own login and password. • The initial school login is testwood and password is pentagon (this may change). • Please remember to click ‘checkout’ at the end so your work is submitted. • If you do not have the internet at home please use the learning resource centre (open until 4pm Monday – Thursday, 3.30pm Friday) • (With thanks to jcasey 1.7(C), Manoj Mistry 1.5)
Name: ……………………………… Due in date: ………… Week 1 Homework 1.1: 4 Number Rules No Calculators A. Work out the following showing method clearly: (1) 345+128 (2) 433+532+1083 (3) 754-382 (4) 5647- 6305 (5) 53.7+274.9 (6) 354.76+22.2 (7) 87 x 6 (8) 154 ÷ 7 (9) 6.8 x 7 L4: Adding Look at the calculation below. Write the correct digits in the boxes. B. Work out: Showing full method 1) 8 x 16 2) 743 x 25 3) 83.7 x 6 4) 34.6 x 4.7 5) 91.8 ÷ 17 6) 96.2 ÷ 3.7 L5: Kites Gwen makes kites to sell. She sells the kites for £4.75 each. (a) Gwen sells 26 kites. How much does she get for the 26 kites? (b) Gwen has a box of 250 staples. She uses 16 staples to make each kite. How many complete kites can she make using the 250 staples? C. Work out: Showing full method (1) 44.8 + 172.9 + 87.36 (2) 5678.98 - 45.7 (3) 64.2 x 0.43 (4) 361.6 ÷ 0.8 (5) 547.4 ÷ 0.07 L6: Calculate: Calculate 57.3 × 2.1. Show your working. L7: Multiplication grids: Write the missing numbers in these multiplication grids. (i) (ii)
Name: ……………………………… Due in date: ………… Week 2 Mymaths.co.uk Homework Homework 1.2: BIDMAS: Using correct order of operation A. Function Machines http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/functionMachinesOH&taskID=1159 B. Order of Operations (BIDMAS) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=formulae/operationsOrderOH&taskID=1167 C. Using calculator efficiently (including power and brackets keys) http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow4Calculator&taskID=4
Name: ……………………………… Due in date: ………… Week 3 Homework 1.3–Percentages: of amounts, increases, decreases. • A. (i) Copy the table below and fill in the blank spaces: • (ii) Calculate (1) 50% of 600 ml (2) 10% of 90 kg (iii) 25% of £80 • L4: Twenty-seven • Fill in the missing numbers. • (1) 50% of ...... = 27 (2) 25% of ..... = 27 (3) 10% of ......... = 27 B. (i) Copy the table below and fill in the blank spaces: (ii) Calculate (1) 50% of 60 kg (2) 10% of 60 kg (3) 1% of 60 kg (4) 56% of 80. L5: Percentages (a) Work out 5% of 360 (b) Work out 15% of 360. C. (i) Increase (1) 400 by 20% (2) 6300 by 5% (ii) Decrease (1) 700 by 30% (2) 5400 by 65% (iii) What multiplier would you use to (1) increase an amount by 15% (2) decrease an amount by 60%. L6: What is my number? I think of a number. 4% of my number is 42 (a) What is 40% of my number? (b) What is my number? L7: Weekly earnings The median gross weekly earnings for full time employees in the UK in 2013 were £556 for men and £459 for women. (Source: ONS Annual Survey of Hours and Earnings, 2013). Calculate the median gross weekly earnings for women as a percentage of the median gross weekly earnings for men.
Week 4 Name: ……………………………… Due in date: ………… Mymaths.co.uk Homework Homework 1.4 – Fractions: equivalents, +, -, x, http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/fractionsDiamondOH&taskID=1371 A. Simple Equivalent fractions B. Fractions of amounts http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/fractions1OH&taskID=1018 C. Adding/Subtracting fractions http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/addingFractionsOH&taskID=1017 Extension: Multiplying/dividing fractions http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/multiplyingFractionsOH&taskID=1047 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fractions/dividingFractionsOH&taskID=1040
Name: ……………………………… Due in date: ………… Week 5 Week 5 Homework 1.5 – Co-ordinates and straight line graphs. A. Draw a grid with the x axis from 0 to 10 and the y axis from 0 to 10. Plot the points and join them up with a ruler as you go. Stop at each # and start again. (2, 2) (3, 1) (6, 1) (8, 2) (2, 2)# (4, 2) (4, 8)# (8, 2) (4, 8)# (4, 6) (2, 2) # L4: Finding points: What are the coordinates of P? (….. , …. ) B.Draw a grid with the x axis from -10 to 10 and the y axis from -10 to 10. Plot the points and join them up with a ruler as you go. Stop at each # and start again. (7, -1) (10, -1) (10, 0) (9, 1) (5, 2) (2, 5) (-5, 5)) (-9, 2) (-9, 0) (-8, -1) (-7, -1) (-6, 0) (-5, 0) (-4, -1) (-5, -2) (-6, -2) (-7, -1) # (-4, -1) (4, -1) (5, 0) (6, 0) (7, -1) (6, -2) (5, -2) (4, -1) # L5: Plot the graph of y = 4x – 1. You can use The grid on The right. Credit: Mistry maths.
C. L6: Straight lines. The graph shows a straight line. 1. Week 5 (i) Fill in the table for some of the points on the line (ii) Write an equation of the straight line (iii) On the graph, draw the straight line that has the equation x + y = 6 2. L7 Graphing: Here are six different equations, labelled A to F Think about the graphs of these equations. (a) Which graph goes through the point (0, 0) (b) Which graph is parallel to the y-axis? (c) Which graph is not a straight line? (d) Which two graphs pass through the point ( 3 , 7 )?
Week 6 Name: ……………………………… Due in date: ………… Homework 1.6 – Graphs http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=coordinates/CoordinatesOH&taskID=1092 A. L4: Coordinates B. L5: Coordinates http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=coordinates/coordMidpointOH&taskID=1093 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=graphs/plottingGraphsOH&taskID=1168 C. L6/7 Graphs – includes a quadratic graph Extension: 3D Coordinates http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=coordinates/3DCoordinatesOH&taskID=1077
Week 7 Name: ……………………………… Due in date: ………… Homework 1.7 Transformation: • A. Reflect shapes (i) and (ii) in the given lines of reflection. • (i) (ii) (iii) (iv) • Rotate (iii) by half a turn, centre A. Translate (move) (iv) 3 squares to the right. • L4: Kite • The shape is reflected in a mirror • line. Point A stays in the same • place. Where is point Breflected • to? Put a cross on the grid to • show the correct place. • (ii) Now the shape is rotated. • Point A stays in the same place. • Where is point B rotated to? • Put a cross on the grid to show • the correct place.
Week 7 Name: ……………………………… Due in date: ………… Homework 1.7 Transformation: • B. Reflect shapes (i) and (ii) in the given lines of reflection. • (i) (ii) (iii) (iv) • Rotate (iii) by half a turn, centre A. Translate (move) (iv) 3 squares to the right. • L5: Rotating • Look at the shape drawn on the square grid. • On the grid, draw a 180° rotation of the shape, using point C as the centre of rotation.
Week 7 Name: ……………………………… Due in date: ………… Homework 1.7 Transformation: • C. Reflect shapes (i) and (ii) in the given lines of reflection. • (i) (ii) (iii) (iv) • Rotate (iii) by half a turn, centre A. Translate (move) (iv) 3 squares to the right. • L6: Drawing • Four cubes join to make an L-shape. The diagram shows the L-shape • afterquarter turns in one direction. On the grid below, draw the • L-shape after the next quarter turn in the same direction. • L7: Translation by a given vector. Use the mymaths website or the BBC bitesize and write notes on translation using vectors. Give an example.
Week 8 Name: ……………………………… Due in date: ………… Homework 1.8: Expressions http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simplify/simplifyingExpressionsOH&taskID=1179 A. Simplifying – addition and subtracting (like and unlike terms). http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=simplify/simplifyingExpressions2OH&taskID=1178 B. Simplifying – multiplication and division http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=brackets/singleBracketsOH&taskID=1247 C. Simplifying - brackets Extension – double brackets. http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=brackets/bracketsMovieOH&taskID=1150
Week 9 Name: ……………………………… Due in date: ………… Homework 1.9: Algebra tricks A.Copy and complete the magic trick below based on the work we have done in class this week. Two start numbers are given. You need to come up with the third one. Complete this sentence: The final number in this puzzle will always be …………………………. B. Copy and complete the magic trick below based on the work we have done in class this week. Complete this sentence: The final number in this puzzle will always be …………………………. C. Do all of part B above and the L7 question below:
Week 10 Name: ……………………………… Due in date: ………… Mymaths.co.uk Homework Homework 1.10 – Solving Equations A. Formulae/Equations http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow11Formulae&taskID=71 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/equationsSimpleOH&taskID=1154 B. Simple Equations http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/solvingEquationsMovieOH&taskID=1182 C. Solving Equations – with unknown on both sides and / or negative solutions.
Name: ……………………………… Due in date: ………… Week 11 Homework 1.11 – Forming expressions/ equations A. Writing expressions L4:Find the perimeter of this shape L5 C. L6: Number I think of a number. multiply this number by 8, then subtract 66. The result is twice the number that I was thinking of. What is the number I was thinking of?. Need a challenge? Speak to your teacher. B. Form and solve equations Using algebra: Here is some information about three people. Write an expression for each person’s age using n The first one is given.Harry’s age...n…Jo’s age.........Kate’s age ...............
Week 12 Name: ……………………………… Due in date: ………… Mymaths.co.uk Homework Homework 1.12 – Using a calculator efficiently A. Money calculations http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=decimals/moneyOH&taskID=1014 B. Using brackets and other keys. Use calculator. http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=formulae/operationsOrderOH&taskID=1167 C. Complex calculations using calculator http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow4Calculator&taskID=4 http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=trial/trialOH&taskID=1057 Extension: Trial and improvement – in preparation for next topic
Week 13 Name: …………………………………….. Due in date: ………… Homework 1.13 – Trial and improvement and review • Complete these 6 questions from this term • 1) 436 + 247 2) 56 x 9 3) Find 60% of 60 • How many degrees is a ¼ turn rotation? • Simplify (i) 5a + 3a (ii) 6b + 5d + 2c + 7d • Solve the Equation: a² = 15 a=?(Use trial and improvement method) • B. Complete these questions • 54 x 87 2) 6543 ÷ 8 3) Find 35% of 840 • Simplify 8p + 11w + 2p – w • Solve the equation 4x - 7 = 19 x=? • Use trial and improvement to find the value of x in the equation • x² + 9=50 to 1dp • C. Complete these questions • 45.6 x 3.2 2) 6421 ÷ 4.4 3) Find 85% of 76 • Solve the equation 5n + 23 = 3n + 16 n=? • Multiply this expression by ‘b’ 3b + 2a – 4b2 • Use trial and improvement to find the value of x in the equation • x2+3x = 40 to 1dp
Week 14 Name: ……………………………… Due in date: ………… Mymaths.co.uk Homework Homework 1.14 – Key assessment preparation • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow11Formulae&taskID=71 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow8RatioAndProportion&taskID=68 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=fourbooster/ow15Shapes&taskID=75 • Formulae/Equations • Ratio and proportion • 2D and 3D • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/equationsSimpleOH&taskID=1154 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow14Proportion&taskID=14 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow6AlgebraicExp&taskID=6 • Simple Equations • Ratio and proportion • Algebra • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=equations/solvingEquationsMovieOH&taskID=1182 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=boosters/ow3PercentIncDec&taskID=3 • http://www.mymaths.co.uk/tasks/library/loadTask.asp?title=gcseFoundation/ow10graphs&taskID=210 • Solving Equations • Percentages • Coordinates and graphs
Name: ……………………………… Due in date: ………… Week 15 Homework 1.15 – Key assessment week A. Assign homework to work on weaknesses identified from key assessment. B. Assign homework to work on weaknesses identified from key assessment. C. Assign homework to work on weaknesses identified from key assessment.